Tension on an edge in a graph
Resumo
In this paper we introduce the concept of tension on an edge in a graph. The tension on an edge in a graph is the number of geodesics passing through it. We investigate some results and characterizations involving tensions on edges in graphs.
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Referências
Atici, M., On The Edge Geodetic Number Of A Graph, International Journal of Computer Mathematics 80(7), 853-861, ( DOI: https://doi.org/10.1080/0020716031000103376
Bhargava, K., Dattatreya, N. N., Rajendra, R., On Stress of a Vertex in a Graph, to appear in Palestine Journal of Mathematics.
Chartrand, G., Harary, F., & Zhang, P., On the geodetic number of a graph, Networks 39(1), 1-6, (2001). DOI: https://doi.org/10.1002/net.10007
Harary, F., Graph Theory, Addison Wesley, Reading, Mass, (1972).
Harary, F., Loukakis, E., & Tsouros, C., The geodetic number of a graph, Mathematical and Computer Modelling 17(11), 89-95, (1993). DOI: https://doi.org/10.1016/0895-7177(93)90259-2
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